Open AccessArtin Approximation
Author(s) -
Guillaume Rond
Publication year - 2018
Publication title -
journal of singularities
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.5
H-Index - 12
ISSN - 1949-2006
DOI - 10.5427/jsing.2018.17g
Subject(s) - mathematics , computer science
In 1968, M. Artin proved that any formal power series solution of a system of analytic equations may be approximated by convergent power series solutions. Motivated by this result and a similar result of P{\l}oski, he conjectured that this remains true when the ring of convergent power series is replaced by a more general kind of ring. This paper presents the state of the art on this problem, aimed at non-experts.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom